Centers of quantum Schur superalgebras from Hecke algebras

Qiang Fu, Yingshan Luo, Chengquan Sun

We study the center of the quantum Schur superalgebra ${\mathcal{S}}_v(m|n,r)$ associated with the general linear Lie superalgebra ${\mathfrak{gl}}_{m|n}$. Using the super Schur--Weyl…